Question

find the measure of angle x. m∠x =

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. That is, their sum is \(180^{\circ}\).

Step2: Set up the equation

Let the angle of \(125^{\circ}\) and \(\angle x\) be consecutive interior angles. So, \(125^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(125^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 125^{\circ}\).
\(x = 55^{\circ}\)

Answer:

\(55^{\circ}\)